The transformed equation of `2x^(2) + 4xy+ 5y^(2) - 4x - 22y+7=0` when the axes are translated to the point `(-2,3)` is

The transformed equation of 5x^(2) + 4xy + 8y^(2) - 12x - 12y =0 when the axes are translated to the point (1,1//2) is

The transformed equation of 5x^(2) + 4xy + 8y^(2) - 12x - 12y =0 when the axes are translated to the point (1,1//2) is

The transformed equation of 4x^(2) + 9y^(2) - 8x + 36y+4=0 when the axes are translated to the point (1,-2) is

The transformed equation of 4x^(2) + 9y^(2) - 8x + 36 y + 4 = 0 when the axes are translated to the point (1,-2) is

The transformed equation of x^(2) + 2y^(2) +2x- 4y+2=0 when the axes are translated to the point (-1,1) is

If the transformed equation of curve is 3x^(2) + xy - y^(2) - 7x + y + 7 = 0 when the axes are translated to the point (1,2) then the original equation of curve is

The transformed equation of x^(2) + 3y^(2) +4x+ 18y + 30=0 when the axes are transferred to the point (-2,-3) is

If the transformed equation of a curve is x^(2)+ y^(2) + 4x + 6y + 12=0 when the axes are translated to the point (2,3), then the original equaiton of the curve is

The transformed equation of 2x^(2)-3y^(2)+z^(2)+4x+6y-4z-2=0 when the axes are translated to the point (-1, 1, 2) is